Table 2 Bias on the Loevinger's H coefficient as a function of the rate of missing data per item (π), the value of the correlation coefficient ρ between the latent variable Θ and the propensity to have missing data ξ for each method for handling missing data (results for w = 0/w = 1)
π= 10% | π= 20% | π= 30% | |||||||
|---|---|---|---|---|---|---|---|---|---|
Method | ρ= 0.0 | ρ= -0.4 | ρ= -0.9 | ρ= 0.0 | ρ= -0.4 | ρ= -0.9 | ρ= 0.0 | ρ= -0.4 | ρ= -0.9 |
PMS | 0.08/0.08 | 0.08/0.08 | 0.08/0.07 | 0.14/0.13 | 0.14/0.13 | 0.14/0.13 | 0.18/0.17 | 0.18/0.17 | 0.17/0.16 |
PMS-R | 0.04/0.04 | 0.04/0.04 | 0.04/0.04 | 0.07/0.08 | 0.07/0.07 | 0.07/0.07 | 0.10/0.10 | 0.09/0.09 | 0.09/0.09 |
IMS | -0.02/-0.02 | -0.02/-0.02 | -0.02/-0.02 | -0.03/-0.03 | -0.04/-0.04 | -0.04/-0.04 | -0.04/-0.04 | -0.05/-0.05 | -0.06/-0.06 |
IMS-R | -0.04/-0.04 | -0.04/-0.04 | -0.04/-0.04 | -0.07/-0.07 | -0.07/-0.07 | -0.08/-0.08 | -0.09/-0.09 | -0.09/-0.09 | -0.10/-0.10 |
CIM | 0.09/0.09 | 0.09/0.09 | 0.09/0.09 | 0.15/0.15 | 0.15/0.15 | 0.15/0.15 | 0.19/0.19 | 0.20/0.20 | 0.19/0.20 |
CIM-R | 0.05/0.04 | 0.05/0.04 | 0.05/0.04 | 0.08/0.07 | 0.09/0.07 | 0.08/0.07 | 0.11/0.09 | 0.11/0.09 | 0.10/0.08 |
ICS | 0.04/0.04 | 0.04/0.04 | 0.04/0.04 | 0.07/0.07 | 0.07/0.07 | 0.07/0.07 | 0.09/0.09 | 0.09/0.09 | 0.08/0.08 |
LOG | 0.03/0.04 | 0.03/0.04 | 0.03/0.03 | 0.04/0.04 | 0.04/0.04 | 0.03/0.03 | 0.04/0.03 | 0.03/0.03 | 0.00/0.01 |
LOG-R | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.01 | -0.02/-0.02 | -0.02/-0.03 | -0.03/-0.03 | -0.04/-0.04 | -0.05/-0.05 | -0.06/-0.06 |
MOK | 0.05/0.05 | 0.05/0.05 | 0.05/0.05 | 0.09/0.10 | 0.09/0.09 | 0.09/0.09 | 0.12/0.12 | 0.12/0.12 | 0.11/0.12 |
RAS | 0.02/0.02 | 0.02/0.02 | 0.02/0.02 | 0.04/0.04 | 0.04/0.04 | 0.03/0.04 | 0.04/0.05 | 0.04/0.05 | 0.04/0.05 |
RAS-R | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.01 | -0.01/-0.02 | -0.02/-0.02 | -0.02/-0.02 |
RAI | 0.03/0.03 | 0.03/0.03 | 0.03/0.03 | 0.12/0.10 | 0.12/0.10 | 0.11/0.10 | 0.16/0.15 | 0.16/0.15 | 0.15/0.15 |
WORST | -0.05/-0.04 | -0.03/-0.03 | -0.02/-0.01 | -0.09/-0.07 | -0.07/-0.05 | -0.04/-0.02 | -0.11/-0.09 | -0.09/-0.07 | -0.07/-0.04 |
NOIMP | 0.00/-0.00 | -0.00/-0.00 | -0.00/-0.00 | -0.00/-0.00 | -0.00/-0.00 | -0.00/-0.00 | -0.00/0.00 | -0.01/-0.01 | -0.04/-0.04 |
LD | 0.00/-0.00 | 0.00/-0.00 | -0.00/-0.00 | -0.00/0.00 | -0.00/-0.00 | -0.02/-0.01 | 0.00/0.00 | -0.00/-0.00 | -0.01/-0.01 |